Splitting the FieldPro Problems > Math > Geometry > Rectangles and Squares
Splitting the Field
The perimeter of a field is 2240 feet. The field is split down the middle, parallel to the shorter dimension. The perimeter of each half-field is 1520 feet. What is the shorter dimension of the field?
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If we consider the rectangles as a single geometric figure, its outer perimeter is 768 units, and its area is 8415 square units.
The perimeter of the first rectangle is 312 units.
Find the area of the overlapped square, given that all the side measures are integers.
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Square X has sides of length n units. Its interior is filled with squares of side length 1 unit.
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If the sides of square H are 5 units shorter than the sides of square Y, how many unit squares are there?
Farmer Bob has a rectangular field which he can fence in with 5,000 feet of fencing material. The field is 4 times as long as it is wide.
What is the area of the field?
The perimeter of a rectangle is 124 inches. The length is 2 feet more than the width. What is the area of the rectangle?
In the diagram shown, the blue square and the yellow rectangle share a side.
The area of yellow rectangle is 96 square units more than the area of the blue square.
The combined area of the two figures is 384 square units.
How long is the common side of the rectangle and the square?